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Finding the Fourth Proportional to 2,311.82, 3,468.55 and 1,014.20

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Solution

The fourth proportional to 2,311.82, 3,468.55 and 1,014.20 is: 1,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.82 : 3,468.55 = 1,014.20 : x
  2. Step 2: Convert to fraction form
    2,311.82/3,468.55 = 1,014.20/x
  3. Step 3: Cross multiply
    2,311.82x = 3,468.55 × 1,014.20
  4. Step 4: Simplify right side
    2,311.82x = 3,517,803.41
  5. Step 5: Solve for x
    x = 3,517,803.41/2,311.82
  6. Step 6: Final answer
    x = 1,521.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.